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Finding the Third Proportional to 1,703.53 and 3,154.78

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Solution

The third proportional to 1,703.53 and 3,154.78 is: 5,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.53 : 3,154.78 = 3,154.78 : x
  2. Step 2: Convert to fraction form
    1,703.53/3,154.78 = 3,154.78/x
  3. Step 3: Cross multiply
    1,703.53x = 3,154.78 × 3,154.78
  4. Step 4: Simplify right side
    1,703.53x = 9,952,644.74
  5. Step 5: Solve for x
    x = 9,952,644.74/1,703.53
  6. Step 6: Final answer
    x = 5,842.36

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.